The bilayer with monoclinic stacking (C\(_{2h}\)  symmetry) is the common form obtained by exfoliation from bulk CrI\(_{3}\)  at room temperature, and remains experimentally in that structure when cooled to low temperatures.[1]}, [2]} The bilayer in that structure has been the focus of most attention due to its layered antiferromagnetic (AFM) ground state (below T\(_N\approx 45\)  K), which can be conveniently switched to the FM state (by electric or magnetic means).[3]}, [4]}, [5]}
The bilayer with rhombohedral stacking (S\(_{6}\)  symmetry) is obtained experimentally by layer-stacking engineering, and is FM.[6]}, [7]}
Although in this paper we mainly focus on the spin texture of the FM bilayer with monoclinic stacking, we will also show that virtually the same spin texture pattern is present in the FM bilayer with rhombohedral stacking.
